SOLUTION: 8 to the x equals 4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 8 to the x equals 4      Log On


   

Question 717610: 8 to the x equals 4
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
8%5Ex=4
Since 8 and 4 are both powers of 2, we can solve this quickly, easily and without logarithms:
%282%5E3%29%5Ex+=+2%5E2
2%5E%283x%29+=+2%5E2
Two powers of 2 cannot be equal unless their exponents are equal.
3x+=+2
x+=+2%2F3